Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.

The aim of this work is to incorporate cooperativity into Huxley-type cross-bridge model in thermodynamically consistent way. While the Huxley-type models assume that cross-bridges act independently from each other, we take into account that each cross-bridge is influenced by its neighbors and coope...

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Main Authors: Mari Kalda, Pearu Peterson, Marko Vendelin
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2015-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4567334?pdf=render
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author Mari Kalda
Pearu Peterson
Marko Vendelin
author_facet Mari Kalda
Pearu Peterson
Marko Vendelin
author_sort Mari Kalda
collection DOAJ
description The aim of this work is to incorporate cooperativity into Huxley-type cross-bridge model in thermodynamically consistent way. While the Huxley-type models assume that cross-bridges act independently from each other, we take into account that each cross-bridge is influenced by its neighbors and cooperativity is induced by tropomyosin movement. For that, we introduce ensembles of cross-bridge groups connected by elastic tropomyosin. By taking into account that the mechanical displacement of tropomyosin induces free energy change of the cross-bridge group ensemble, we develop the formalism for thermodynamically consistent description of the cooperativity in muscle contraction. An example model was composed to test the approach. The model parameters were found by optimization from the linear relation between oxygen consumption and stress-strain area as well as experimentally measured stress dynamics of rat trabecula. We have found a good agreement between the optimized model solution and experimental data. Simulations also showed that it is possible to study cooperativity with the approach developed in this work.
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spelling doaj.art-858d77c2904944c884db352fb57eaab12022-12-22T01:18:24ZengPublic Library of Science (PLoS)PLoS ONE1932-62032015-01-01109e013743810.1371/journal.pone.0137438Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.Mari KaldaPearu PetersonMarko VendelinThe aim of this work is to incorporate cooperativity into Huxley-type cross-bridge model in thermodynamically consistent way. While the Huxley-type models assume that cross-bridges act independently from each other, we take into account that each cross-bridge is influenced by its neighbors and cooperativity is induced by tropomyosin movement. For that, we introduce ensembles of cross-bridge groups connected by elastic tropomyosin. By taking into account that the mechanical displacement of tropomyosin induces free energy change of the cross-bridge group ensemble, we develop the formalism for thermodynamically consistent description of the cooperativity in muscle contraction. An example model was composed to test the approach. The model parameters were found by optimization from the linear relation between oxygen consumption and stress-strain area as well as experimentally measured stress dynamics of rat trabecula. We have found a good agreement between the optimized model solution and experimental data. Simulations also showed that it is possible to study cooperativity with the approach developed in this work.http://europepmc.org/articles/PMC4567334?pdf=render
spellingShingle Mari Kalda
Pearu Peterson
Marko Vendelin
Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
PLoS ONE
title Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
title_full Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
title_fullStr Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
title_full_unstemmed Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
title_short Cross-Bridge Group Ensembles Describing Cooperativity in Thermodynamically Consistent Way.
title_sort cross bridge group ensembles describing cooperativity in thermodynamically consistent way
url http://europepmc.org/articles/PMC4567334?pdf=render
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AT pearupeterson crossbridgegroupensemblesdescribingcooperativityinthermodynamicallyconsistentway
AT markovendelin crossbridgegroupensemblesdescribingcooperativityinthermodynamicallyconsistentway